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Alenkinab [10]
4 years ago
14

Multiple 1.229 by 15 and round to the nearest cent

Mathematics
1 answer:
podryga [215]4 years ago
7 0
When you multipy 1.229 x 15 your answer is 18.435. Rounding to the nearest cent will only include 2 numbers after the decimal. Looking at 18.435, the last number, 5 will round your answer to 18.44
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Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou
Bogdan [553]

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

5 0
4 years ago
A population of beetles is growing according to a linear growth model. The initial population (week 0) is
Airida [17]

Answer:

<em>P=7.75t+13</em>

<em>t = 19 weeks</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.

The linear function can be expressed in the slope-intercept format:

y = mx + b

Another equation of the line can be used when two points are given.

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).

Find the equation of the line:

\displaystyle P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)

\displaystyle P-13=\frac{75-13}{8-0}(t-0)

\displaystyle P-13=\frac{62}{8}t

\displaystyle P-13=7.75t

The explicit formula is:

P = 7.75t + 13

Now we find when the beetle population is 161:

161 = 7.75t + 13

161 - 13 = 7.75t

7.75t = 148

t = 148/7.75

t = 19 weeks

7 0
3 years ago
Liz has a 24-inch long ribbon. She cuts nine 2-inch pieces from her original ribbon. How much of the original ribbon is left?
vaieri [72.5K]
2x9=18
24-18=6
she has 6 inch pieces of ribbon long]
8 0
4 years ago
Read 2 more answers
Jenny was in charge of selling tickets to a family fun night at her school
ra1l [238]
I’ve attached my work below for #4
5) 8% is equivalent to 8 cents so each item was $1.08
Than you know he spent 16.20 so you divided
1.08/16.20 which equals 15
So he got 15 items
6) the moon is 250,000 miles away which is about driving around earth 10 times which would take 6 months (not sure about this one)

Hope this helps!
Have a nice day :)

4 0
4 years ago
What is the value of x in the diagram below?
otez555 [7]

The cosine of 30° is √3 / 2.

Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.

The cosine of 45° is √2 / 2.

Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C

8 0
4 years ago
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